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Finding the Fourth Proportional to 206,022, 309,057.50 and 72,875.01

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Solution

The fourth proportional to 206,022, 309,057.50 and 72,875.01 is: 109,321.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,022 : 309,057.50 = 72,875.01 : x
  2. Step 2: Convert to fraction form
    206,022/309,057.50 = 72,875.01/x
  3. Step 3: Cross multiply
    206,022x = 309,057.50 × 72,875.01
  4. Step 4: Simplify right side
    206,022x = 22,522,568,403.08
  5. Step 5: Solve for x
    x = 22,522,568,403.08/206,022
  6. Step 6: Final answer
    x = 109,321.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.